Questions: The amount of CO2 emissions, E (in billions of tons), produced by the United States t years after 2000 is given by the function E(t). In 2010, the United States produced 5.5 billions of tons of CO2 emissions. Express this information in terms of the function E(t).

The amount of CO2 emissions, E (in billions of tons), produced by the United States t years after 2000 is given by the function E(t). In 2010, the United States produced 5.5 billions of tons of CO2 emissions. Express this information in terms of the function E(t).

Transcript text: The amount of CO 2 emissions, $E$ (in billions of tons), produced by the United States $t$ years after 2000 is given by the function $E(t)$. In 2010, the United States produced 5.5 billions of tons of CO2 emissions. Express this information in terms of the function $E(t)$. $\square$

Solution

Solution Steps

To express the given information in terms of the function $ E(t) $, we need to identify the value of $ t $ for the year 2010 and the corresponding value of $ E(t) $. Since $ t $ represents the number of years after 2000, for the year 2010, $ t = 10 $. The CO2 emissions for this year are given as 5.5 billion tons, so we can express this as $ E(10) = 5.5 $.

Step 1: Identify the Year and Corresponding $ t $

The problem states that we need to express the CO2 emissions for the year 2010 in terms of the function $ E(t) $. Since $ t $ represents the number of years after 2000, for the year 2010, we have: \[ t = 2010 - 2000 = 10 \]

Step 2: Express the CO2 Emissions in Terms of $ E(t) $

The CO2 emissions for the year 2010 are given as 5.5 billion tons. Therefore, we can express this information using the function $ E(t) $ as: \[ E(10) = 5.5 \]

Final Answer

$\boxed{E(10) = 5.5}$

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